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Open AccessArticle

A New Approach to the Interpolative Contractions

by Yaé Ulrich Gaba 1,2,*,† and Erdal Karapınar 3,*,†
1
Institut de Mathématiques et de Sciences Physiques (IMSP)/UAC, BP 613, Porto-Novo, Benin
2
African Center for Advanced Studies, PO Box 4477, Yaounde, Cameroon
3
Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 40402, Taiwan
*
Authors to whom correspondence should be addressed.
These authors contributed equally to this work.
Axioms 2019, 8(4), 110; https://doi.org/10.3390/axioms8040110
Received: 17 September 2019 / Revised: 2 October 2019 / Accepted: 2 October 2019 / Published: 10 October 2019
(This article belongs to the Special Issue Fixed Point Theory and Related Topics)
We propose a refinement in the interpolative approach in fixed-point theory. In particular, using this method, we prove the existence of fixed points and common fixed points for Kannan-type contractions and provide examples to support our results. View Full-Text
Keywords: interpolative contraction; contraction; fixed point interpolative contraction; contraction; fixed point
MDPI and ACS Style

Gaba, Y.U.; Karapınar, E. A New Approach to the Interpolative Contractions. Axioms 2019, 8, 110.

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